312113000 has 64 divisors (see below), whose sum is σ = 768830400. Its totient is φ = 118267200.

The previous prime is 312112987. The next prime is 312113029. The reversal of 312113000 is 311213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10787 + ... + 27213.

It is an arithmetic number, because the mean of its divisors is an integer number (12012975).

Almost surely, 2^312113000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384415200).

312113000 is an abundant number, since it is smaller than the sum of its proper divisors (456717400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312113000 is a wasteful number, since it uses less digits than its factorization.

312113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16467 (or 16453 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 312113000 is about 17666.7201257053. The cubic root of 312113000 is about 678.3241605343.

Adding to 312113000 its reverse (311213), we get a palindrome (312424213).

The spelling of 312113000 in words is "three hundred twelve million, one hundred thirteen thousand".